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Finding the Fourth Proportional to 156,169, 234,252.68 and 37,840.36

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Solution

The fourth proportional to 156,169, 234,252.68 and 37,840.36 is: 56,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,169 : 234,252.68 = 37,840.36 : x
  2. Step 2: Convert to fraction form
    156,169/234,252.68 = 37,840.36/x
  3. Step 3: Cross multiply
    156,169x = 234,252.68 × 37,840.36
  4. Step 4: Simplify right side
    156,169x = 8,864,205,742.16
  5. Step 5: Solve for x
    x = 8,864,205,742.16/156,169
  6. Step 6: Final answer
    x = 56,760.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.